Least Common Multiple of 326/920, 456/119, 210/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 326/920, 456/119, 210/694 quickly i.e. 2601480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 326/920, 456/119, 210/694 is 2601480.

LCM(326/920, 456/119, 210/694) = 2601480

LCM of 326/920, 456/119, 210/694

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 326/920,456/119,210/694

Given numbers are 326/920,456/119,210/694

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 326,456,210

Least Common Multiple of Numerators i.e. LCM of 326,456,210 is 2601480.

GCF of Denominators means GCF of 920,119,694 as per the given fractions.

GCF of 920,119,694 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 326,456,210

LCM of Fractions 326/920,456/119,210/694 is 2601480

2 326, 456, 210
3 163, 228, 105
163, 76, 35

∴ So the LCM of the given numbers is 2 x 3 x 163 x 76 x 35 = 2601480

Least Common Multiple of 326,456,210 with GCF Formula

Least Common Multiple of 326,456,210 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 326,456,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(326,456,210) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(326,456,210) x common factors =2 x 6 = 12

LCM(326,456,210) = ( 326 × 456 × 210 ) / 12

LCM(326,456,210) = 31217760 / 12

LCM(326,456,210) = 2601480


Lets's calculate GCF of 920,119,694

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2601480/1

Therefore the LCM of Fractions 326/920,456/119,210/694 is 2601480

Greatest Common Factor of 920,119,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,119,694 By Matching Biggest Common Factor Method

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 920,119,694 . The biggest common factor number is the GCF number.
So the greatest common factor 920,119,694 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 326/920, 456/119, 210/694

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 326/920, 456/119, 210/694?

Answer: LCM of Numerators as per given numbers 326/920, 456/119, 210/694 is

LCM of Numerators i.e. for 326,456,210 is 2601480

GCF of denominators i.e. for 920,119,694 is 1.

Thus, LCM of Fractions is 2601480.Finally, LCM of Fractions for 326/920, 456/119, 210/694 is 2601480.